Thank you for all the good advice.
I am starting to see that there are two schools of though. Stay on glidescope or come in a bit steep and glide in. If you stay on glidescope then you'll need power and if you are really new to flying, there is the fear that you may stall. Although, I am not sure how realistic is this fear. Probably few stall accidents are on short final. Also, there is probably a reason why we practice slow flight and on lightly loaded aircraft power off stalls need quite a bit of effort, they don't just happen (at least regarding Cessna 172s).
I must tell you that at this point instructor and I are not fighting over glidescope. Either way is fine with me, but like many of the posters he won't stand red over white. We seem to be fighting over slow flight just before landing. I got along with both instructors and I think I can get back to the first one (still fine with the second one in general), but I just can't stand the speed into flare. Maybe it is lack of skill but I don't think so.